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Finding the Fourth Proportional to 624,596.50, 936,902.40 and 219,800.78

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Solution

The fourth proportional to 624,596.50, 936,902.40 and 219,800.78 is: 329,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,596.50 : 936,902.40 = 219,800.78 : x
  2. Step 2: Convert to fraction form
    624,596.50/936,902.40 = 219,800.78/x
  3. Step 3: Cross multiply
    624,596.50x = 936,902.40 × 219,800.78
  4. Step 4: Simplify right side
    624,596.50x = 205,931,878,303.87
  5. Step 5: Solve for x
    x = 205,931,878,303.87/624,596.50
  6. Step 6: Final answer
    x = 329,703.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.